Integration by parts and its applications of a new nonlocal fractional derivative with Mittag-Leffler nonsingular kernel
- Department of Mathematics and Physical Sciences, Prince Sultan University, P. O. Box 66833, 11586 Riyadh, Saudi Arabia.
- Department of Mathematics, Cankaya University, 06530 Ankara, Turkey.
- Institute of Space Sciences, Magurele-Bucharest, Romania.
In this manuscript we define the right fractional derivative and its corresponding right fractional integral for the newly
suggested nonlocal fractional derivative with Mittag-Leffler kernel. Then, we obtain the related integration by parts formula.
We use the Q-operator to confirm our results. The related Euler-Lagrange equations are reported and one illustrative example
- Fractional calculus
- Mittag-Leffler function
- fractional integration by parts
- fractional Euler-Lagrange equations.
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